Properties of the Number 1005

One Thousand Five

Basics

Value: 1004 → 1005 → 1006

Parity: odd

Prime: No

Previous Prime: 997

Next Prime: 1009

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 67

Divisors: 1, 3, 5, 15, 67, 201, 335, 1005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111101101

Octal: 1755

Duodecimal: 6B9

Hexadecimal: 3ed

Square: 1010025

Square Root: 31.701734968294716

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n whose mean is a part. A237984

Number of partitions of n into parts having a common factor. A18783

G.f.: ∏_j>=1 ∏_i>=1 (1 + x^i·j). A107742

Numbers that are the sum of 6 positive 5th powers. A3351

Numbers whose sum of digits is 6. A52220

V-toothpick (or honeycomb) sequence (see Comments lines for definition). A161206

Products of exactly three distinct odd primes. A46389

Number of partitions of n such that each pair of parts (if any) has a common factor. A200976

Numbers k such that 1 + k + k³ + k⁵ + k⁷ + k⁹ + k¹¹ is prime. A244376

The number k(GL(n,q)) of conjugacy classes in GL(n,q), q=4. A49314